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1054444413000 = 233531131952861
BaseRepresentation
bin11110101100000011100…
…10001110000001001000
310201210201001012011120210
433112001302032001020
5114234000232204000
62124223255121120
7136116054425046
oct17260162160110
93653631164523
101054444413000
11377207422240
121504373731a0
1378583a4b934
143906d133396
151c6663b9350
hexf581c8e048

1054444413000 has 128 divisors (see below), whose sum is σ = 3588945459840. Its totient is φ = 255622880000.

The previous prime is 1054444412981. The next prime is 1054444413047. The reversal of 1054444413000 is 3144444501.

It is a super-2 number, since 2×10544444130002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15943431 + ... + 16009430.

It is an arithmetic number, because the mean of its divisors is an integer number (28038636405).

Almost surely, 21054444413000 is an apocalyptic number.

1054444413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054444413000 is an abundant number, since it is smaller than the sum of its proper divisors (2534501046840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1054444413000 is a wasteful number, since it uses less digits than its factorization.

1054444413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31952896 (or 31952882 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1054444413000 its reverse (3144444501), we get a palindrome (1057588857501).

The spelling of 1054444413000 in words is "one trillion, fifty-four billion, four hundred forty-four million, four hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 31952861 63905722 95858583 127811444 159764305 191717166 255622888 319528610 351481471 383434332 479292915 639057220 702962942 766868664 798821525 958585830 1054444413 1278114440 1405925884 1597643050 1757407355 1917171660 2108888826 2396464575 2811851768 3195286100 3514814710 3834343320 3994107625 4217777652 4792929150 5272222065 6390572200 7029629420 7988215250 8435555304 8787036775 9585858300 10544444130 11982322875 14059258840 15976430500 17574073550 19171716600 21088888260 23964645750 26361110325 31952861000 35148147100 42177776520 43935183875 47929291500 52722220650 70296294200 87870367750 95858583000 105444441300 131805551625 175740735500 210888882600 263611103250 351481471000 527222206500 1054444413000